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Vlada [557]
3 years ago
8

Jarvis invested some money at 6% interest. Jarvis also invested $58 more than 3 times that amount at 9%. How much is invested at

each rate if Jarvis receives $1097.19 in interest after one year? (Round to two decimal places if necessary.)
Use the variables x and y to set up a system of equations to solve the given problem.
Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0

9514 1404 393

Answer:

  • $3309 at 6%
  • $9985 at 9%

Step-by-step explanation:

Let x and y represent amounts invested at 6% and 9%, respectively.

  y = 3x +58 . . . . . . . the amount invested at 9%

  0.06x +0.09y = 1097.19 . . . . . . total interest earned

__

Substituting for y, we have ...

  0.06x +0.09(3x +58) = 1097.19

  0.33x + 5.22 = 1097.19 . . . . . . . . . simplify

  0.33x = 1091.97 . . . . . . . . . . . . subtract 5.22

  x = 3309 . . . . . . . . . . . . . . . . divide by 0.33

  y = 3(3309) +58 = 9985

$3309 is invested at 6%; $9985 is invested at 9%.

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Answer:

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the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
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The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

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d = \sqrt{144 + 64}

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3 years ago
What does x equal in 3(x-2)=-3
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

The room is already broken down into two smaller rectangles.

The smaller of the two measures 4 ft by 2 ft. A=lw, so substitute 4 for l and 2 for w.

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